Sixth Framework Programme

Marie Curie Actions

 

EU Research Training Network CODY

Conformal Structures and Dynamics

Research Training Networks
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Project

Milestones Objectives Workpackages

Milestones

Milestone
Month
Description
Comment
M C1
6
Opening Conference
M IV.1
12
Deeper understanding of bifurcations of parabolic points.
Result of task IV.3 and IV.4
12
First Activity and management Report
M I.1
18
Advances in surgery in holomorphic dynamics.
Result of task I.1, towards WP IV
24
Mid Term Activity and management Report
24
Audit Certificates All partners
M II.1
24
Publication on geometry of measures and multi-fractal analysis (non-uniform or non-conformal scaling).
Result of task II.1-II.3
M I.2
30
Geometric regularity and removability results for certain mappings of controlled unbounded distortion.
Result of task I.1-I.3, towards WP IV
M C2
36

Conference

M V.1
36
Conformal measures, exponents of PoincarÈ series and dimensions, for some weakly hyperbolic maps
Jointly tasks III.1 and V.1
M V.2
36
Results on differentiability (analyticity) of pressure in univalent or holomorphic dynamics setting, description of phase transitions, dynamical zeta-function.
Result of task V.1
M IV.2
36
Basic results on Yoccoz parapuzzles puzzles for families with several critical points and phase-parameter relationship through surgery
Result of task IV.1
M V.3
36
New estimates (computation) of Hausdorff, hyperbolic and box dimension of Julia (-Lavaurs) sets.
Result of task V.1 and V.2
M VI.1
36
Completion of study of conjecturally conformally invariant lattice models and some scaling limits. Results on multifractal properties of arising clusters.
Result of tasks VI.1
36
Third Activity and management Report
M V.4
42
New results on IFS with overlap.
Result of task V.3
M IV.3
42
Description of geometry and size of attracting basins for Newton’s method for transcendental functions.
Result of task IV.2
M III.1
42
Results in higher dimension.
Results of tasks III.3
M VI.2
48
Fixed point results for renormalization in dynamical systems and lattice models in statistical physics. Results on infinite dimensional systems.
Result of task VI.2-VI.4
M III.2
48
Completion of Palis programme in dimension 1.
Result of task III.1 and III.2
Final Activity and management Report
M C3
48
Final Conference
48
Audit Certificates and Report
All partners